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Finding the Third Proportional to 48,862 and 107,932

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Solution

The third proportional to 48,862 and 107,932 is: 238,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,862 : 107,932 = 107,932 : x
  2. Step 2: Convert to fraction form
    48,862/107,932 = 107,932/x
  3. Step 3: Cross multiply
    48,862x = 107,932 × 107,932
  4. Step 4: Simplify right side
    48,862x = 11,649,316,624
  5. Step 5: Solve for x
    x = 11,649,316,624/48,862
  6. Step 6: Final answer
    x = 238,412.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.